Unformatted text preview: Also, do the following additional problems. A. True or false? (and why?): “If f is continuous on a closed interval [ a,b ], then f attains a local maximum value f ( c ) and a local minimum value f ( d ) at some numbers c and d in [ a,b ].” B. Show that the function 2 x + sin x is invertible. (Hint: To show that the function f ( x ) = 2 x + sin x is invertible, ﬁrst use f ( x ) to show that f ( x ) is an increasing function.) Please don’t forget to write down on your assignment who you worked on the assignment with (if nobody, then write “I worked alone”), and write down on your timesheet how many minutes you spent on each problem (this doesn’t need to be exact)....
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 Fall '11
 Staff
 Math, Calculus, Optimization, Fermat's theorem

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